Riordan is
j years old. Ethan is six times as old as Riordan and Xavier is 14 years younger than Ethan.
- Express Xavier's age in terms of j.
- Riordan is 6 years old as of now. ln how many years' time will Xavier be 3 times as old as Riordan?
(a)
Riordan's age =
j years
Ethan's age = 6
j years
Xavier's age = (6
j - 14) years
(b)
j = 6
Difference in age remains unchanged.
Difference in age between Xavier and Riordan
= (6
j - 14) -
j = 6
j -
j - 14
= 5
j - 14
= 5 x 6 - 14
= 16 years
Difference in the age when Xavier will be 3 times as old as Riordan
= 3 u - 1 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' time so Xavier will be 3 times as old as Riordan
= 8 - 6
= 2 years
Answer(s): (a) (6
j - 14) years; (b) 2 years
